Final answer:
To find the horizontal force required to pull the supporting rope aside until the angle at the wall is 45 degrees, we can use trigonometry and Newton's laws of motion.
Step-by-step explanation:
To find the horizontal force required to pull the supporting rope aside until the angle at the wall is 45 degrees, we can use trigonometry and Newton's laws of motion.
Let's denote the force applied as F and the force exerted on the car as Fc. From the problem, we know that Fc = 12,000 N and the angle is 2.00°.
To find F, we can use the equation Fc = F * sin(θ), where θ is the angle between the rope and the car. Substituting the known values, we have 12,000 N = F * sin(2.00°).
Now, solving for F, we find that F = 12,000 N / sin(2.00°).
The horizontal force required to pull the supporting rope aside until the angle at the wall is 45 degrees can be found using a similar approach, substituting the new angle of 45° in the equation.